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Finding the Fourth Proportional to 218,042.58, 300,923.70 and 121,256.09

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Solution

The fourth proportional to 218,042.58, 300,923.70 and 121,256.09 is: 167,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,042.58 : 300,923.70 = 121,256.09 : x
  2. Step 2: Convert to fraction form
    218,042.58/300,923.70 = 121,256.09/x
  3. Step 3: Cross multiply
    218,042.58x = 300,923.70 × 121,256.09
  4. Step 4: Simplify right side
    218,042.58x = 36,488,831,250.33
  5. Step 5: Solve for x
    x = 36,488,831,250.33/218,042.58
  6. Step 6: Final answer
    x = 167,347.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.